Complete the series. 2, 3, 5, 9, 17, ___
33
Find the difference between consecutive terms: 3 − 2 = 1, 5 − 3 = 2, 9 − 5 = 4, 17 − 9 = 8.
The differences are 1, 2, 4, 8 — each one is double the previous, so the next difference is 8 × 2 = 16.
So the next term is 17 + 16 = 33.
Hence, the number that completes the series is 33.
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